A container of gas is initially at 0.500 atm and 45 ˚C. What will the pressure be at 225 ˚C?

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Answer 1

Hello, Vilkens,

Since the moles of gas don't change, we can use P1V1/T1 = P2V2/T2, where T is in Kelvins. Rearrange for the variable sought, P2:

P2 = P1(V1/V2)(T2/T1)

Since V1 = V2, we are left with

P2 = P1(T2/T1)

Convert degrees C to degrees K by adding 273 to each, then enter the data and calculate. You can see that the volume is the ratio of the two temperatures, which, after converting to K, is (498/318), so the final pressure will be higher. Does this make sense?

Yes, since the volume is constant and we are raising the temperature, the pressure will increase. Your answer should be around 0.783 atm.

Bob